Identification of multi-valued treatment effects with unobserved heterogeneity
在存在未观测异质性的内生多值离散处理设定下，利用单调性假设识别连续结果的处理效应，并给出局部处理效应的闭式表达式，对实证研究者有参考价值。
In this paper, we establish sufficient conditions for identifying treatment effects on continuous outcomes in endogenous and multi-valued discrete treatment settings with unobserved heterogeneity. We employ the monotonicity assumption for multi-valued discrete treatments and instruments, and our identification condition has a clear economic interpretation. In addition, we identify the local treatment effects in multi-valued treatment settings and derive closed-form expressions of the identified treatment effects. We provide examples to illustrate the usefulness of our result.